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Finding the Fourth Proportional to 384,039.18, 576,133.09 and 147,363.46

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Solution

The fourth proportional to 384,039.18, 576,133.09 and 147,363.46 is: 221,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,039.18 : 576,133.09 = 147,363.46 : x
  2. Step 2: Convert to fraction form
    384,039.18/576,133.09 = 147,363.46/x
  3. Step 3: Cross multiply
    384,039.18x = 576,133.09 × 147,363.46
  4. Step 4: Simplify right side
    384,039.18x = 84,900,966,467.26
  5. Step 5: Solve for x
    x = 84,900,966,467.26/384,039.18
  6. Step 6: Final answer
    x = 221,073.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.